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 A217648 Primes of the form 2*k!!! + 1. 2
 3, 3, 5, 7, 37, 3889, 58321, 8377601, 22044961, 11154675863339008001, 4960821503667767721984001, 26284943176784413780354966093824000001, 9847302066569247971143106634078785893903902965760000001, 35900221830120178462218744565190401129929679752455520256000000001 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS k!!! is a triple factorial number (see the definition in A007661). The corresponding k are in A217647. LINKS Table of n, a(n) for n=1..14. EXAMPLE 2*0!!! + 1 = 2*1 + 1 = 3 ; 2*1!!! + 1 = 2*1 + 1 = 3 ; 2*2!!! + 1 = 2*2 + 1 = 5 ; 2*3!!! + 1 = 2*3 + 1 = 7 ; 2*6!!! + 1 = 2*18 + 1 = 37. MAPLE A:= n -> mul(k, k = select(k -> k mod 3 = n mod 3, [\$1 .. n])): for p from 0 to 200 do:if type(2*A(p)+1, prime)=true then printf(`%d, `, 2*A(p)+1):else fi:od: MATHEMATICA multiFactorial[n_, k_] := If[n < 1, 1, If[n < k + 1, n, n*multiFactorial[n - k, k]]]; Select[Table[2*multiFactorial[n, 3] + 1, {n, 0, 60}], PrimeQ] CROSSREFS Cf. A007661, A217647. Sequence in context: A215777 A147095 A161626 * A105888 A335679 A123632 Adjacent sequences: A217645 A217646 A217647 * A217649 A217650 A217651 KEYWORD nonn AUTHOR Michel Lagneau, Oct 09 2012 STATUS approved

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Last modified June 6 22:19 EDT 2023. Contains 363151 sequences. (Running on oeis4.)